Limit x mendekati 1, x/x-1 – 1/ln x

Jawab

Limit (x→ 1)  { x/(x -1)  – 1/ln x)  = 1/2

Jawab:

Lim (x→1) = (x/x-1 – 1/in x)
Lim (x→1) = (x in x – x + 1 / (x-1) in x)
Lim (x→1) = (x in x – x + 1 / x in x- in x)
Lim (x→1) = (in x + 1 – 1 / in x +1 – 1/x)
Lim (x→1) = (x. in x / x. in x + x -1)
Lim (x→1) = (in x + 1 / in x + 1 + 1)
= (in x + 1 / in x + 2)

x → 1 = Lim = 1/2

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